Question

find the area of the shape.
(sides meet at right angles.)
2 ft
1 ft
3 ft
4 ft
2 ft
1 ft
3 ft
square feet

Explanation:

Step1: Divide the shape into rectangles

Divide the given shape into three rectangles.

Step2: Calculate the area of each rectangle

• For the first rectangle (left - most): length \(l_1 = 4\) ft, width \(w_1=2\) ft. Area \(A_1=l_1\times w_1 = 4\times2=8\) square feet.
• For the second rectangle (middle - upper and lower combined): length \(l_2=(1 + 3)\) ft, width \(w_2 = 2\) ft. Area \(A_2=l_2\times w_2=(1 + 3)\times2=8\) square feet.

Step3: Sum up the areas

The total area \(A=A_1+A_2=8 + 8=16\) square feet.

Answer:

\(16\)